72759168 has 128 divisors (see below), whose sum is σ = 220932000. Its totient is φ = 23556096.

The previous prime is 72759157. The next prime is 72759179. The reversal of 72759168 is 86195727.

It is an interprime number because it is at equal distance from previous prime (72759157) and next prime (72759179).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127588 + ... + 128156.

Almost surely, 2^72759168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110466000).

72759168 is an abundant number, since it is smaller than the sum of its proper divisors (148172832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72759168 is a wasteful number, since it uses less digits than its factorization.

72759168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 72759168 is about 8529.8984753630. The cubic root of 72759168 is about 417.4738157530.

It can be divided in two parts, 72759 and 168, that added together give a palindrome (72927).

The spelling of 72759168 in words is "seventy-two million, seven hundred fifty-nine thousand, one hundred sixty-eight".